Generalized weighted Besov spaces on the Gegenbauer hypergroup

• Autorzy: Elman J. Ibrahimov
• Języki publikacji: EN

Abstrakty

EN

In this paper we study generalized weighted Besov type spaces on the Gegenbauer hypergroup. We give different characterizations of these spaces in terms of generalized convolution with a kind of smooth functions and by means of generalized translation operators. Also a discrete norm is given to obtain more general properties on these spaces. Obtained results are analogies of the results for generalized Bessel shifts obtained in the work [5].

Słowa kluczowe

EN

Gegenbauer transformations, Gegenbauer hypergroup, generalized Gegenbauer shifts operators, Besov spaces, generalized convolution

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2014
• Tom: 54
• Numer: 1

Daty

wydano

2014

online

2015-06-30

Twórcy

autor

Elman J. Ibrahimov

Identyfikatory

DOI

10.14708/cm.v54i1.765